Answer:
The maximum profit is reached with 4 deluxe units and 6 economy units.
Step-by-step explanation:
This is a linear programming problem.
We have to optimize a function (maximize profits). This function is given by:
being D: number of deluxe units, and E: number of economy units.
The restrictions are:
- Assembly hours: 
- Paint hours: 
Also, both quantities have to be positive:
We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)
The maximum profit is reached with 4 deluxe units and 6 economy units.
Answer:
20
Step-by-step explanation:
2, 5, 9, 14, ?, 27.
2,5 the number added is 3
5,9 the number added is 4
9,14 the number added is 5
14,20 the number added is 6
20 , 27 the number added is 7
The answer is <span><span><span>6<span>a3</span></span>+<span>22<span>a2</span></span></span>+<span>14a</span></span>−<span>10
My steps:
</span><span><span>(<span><span>3a</span>+5</span>)</span><span>(<span><span><span>2<span>a^2</span></span>+<span>4a</span></span>−2</span>)</span></span><span>=<span><span>(<span><span>3a</span>+5</span>)</span><span>(<span><span><span>2<span>a^2</span></span>+<span>4a</span></span>+<span>−2</span></span>)</span></span></span><span>=<span><span><span><span><span><span><span>(<span>3a</span>)</span><span>(<span>2<span>a^2</span></span>)</span></span>+<span><span>(<span>3a</span>)</span><span>(<span>4a</span>)</span></span></span>+<span><span>(<span>3a</span>)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(5)</span><span>(<span>2<span>a^2</span></span>)</span></span></span>+<span><span>(5)</span><span>(<span>4a</span>)</span></span></span>+<span><span>(5)</span><span>(<span>−2</span>)</span></span></span></span><span>=<span><span><span><span><span><span>6<span>a^3</span></span>+<span>12<span>a^2</span></span></span>−<span>6a</span></span>+<span>10<span>a^2</span></span></span>+<span>20a</span></span>−10</span></span><span>=<span><span><span><span>6<span>a^3</span></span>+<span>22<span>a^2</span></span></span>+<span>14a</span></span>−<span>10</span></span></span>
